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Finding the Fourth Proportional to 135,105.12, 186,444 and 74,679.84

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Solution

The fourth proportional to 135,105.12, 186,444 and 74,679.84 is: 103,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,105.12 : 186,444 = 74,679.84 : x
  2. Step 2: Convert to fraction form
    135,105.12/186,444 = 74,679.84/x
  3. Step 3: Cross multiply
    135,105.12x = 186,444 × 74,679.84
  4. Step 4: Simplify right side
    135,105.12x = 13,923,608,088.96
  5. Step 5: Solve for x
    x = 13,923,608,088.96/135,105.12
  6. Step 6: Final answer
    x = 103,057.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.